Jump Start Calculus

Simple Polynomial Roots

Determine all real roots of each of the following polynomial expressions. If a polynomial has no real roots, declare so. You can check your answer by evaluating the original polynomial at the root you found to check it results in zero.

\(\displaystyle 5x-10 \)
\(\displaystyle 2-3x \)
\(\displaystyle x^2-64 \)
\(\displaystyle (x-8)^2 \)
\(\displaystyle x^5-5 \)
\(\displaystyle 9-(x-4)^2 \)
\(\displaystyle \bigl(x-7\bigr)\bigl(7x+1\bigr) \)
\(\displaystyle x^2-3x-4 \)
\(\displaystyle x^2-x-20 \)
\(\displaystyle t^2-4t-45 \)
\(\displaystyle t^2+12t+11 \)
\(\displaystyle t^2+15t+56 \)
\(\displaystyle 2x^2-2x-12 \)
\(\displaystyle 2x^2+6x \)
\(\displaystyle x^2+13x+30 \)
\(\displaystyle x^2+7x-30 \)
\(\displaystyle 24-5x-x^2 \)
\(\displaystyle x^3-7x^2-44x \)
\(\displaystyle (x-2)^2-5 \)
\(\displaystyle x^2-x-1 \)
\(\displaystyle x^2+x+1 \)
\(\displaystyle (2x-3)\bigl(x^2+11x+18\bigr) \)
\(\displaystyle x^4-16x^2+63 \)